427923648 has 280 divisors, whose sum is σ = 1373440992. Its totient is φ = 131383296.

The previous prime is 427923647. The next prime is 427923649. The reversal of 427923648 is 846329724.

It is an interprime number because it is at equal distance from previous prime (427923647) and next prime (427923649).

Its product of digits (580608) is a multiple of the sum of its prime divisors (162).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (427923641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4411536 + ... + 4411632.

Almost surely, 2^427923648 is an apocalyptic number.

427923648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686720496).

427923648 is an abundant number, since it is smaller than the sum of its proper divisors (945517344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427923648 is a wasteful number, since it uses less digits than its factorization.

427923648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 427923648 is about 20686.3154766623. The cubic root of 427923648 is about 753.5673887466.

The spelling of 427923648 in words is "four hundred twenty-seven million, nine hundred twenty-three thousand, six hundred forty-eight".